CORR
2011
Springer
12 years 8 months ago
2011
Springer
For every k > 3, we give a construction of planar point sets with many collinear k-tuples and no collinear (k + 1)-tuples.
IPL
2002
13 years 4 months ago
2002
Given a planar point set, we wish to label the points with uniform circular labels such that each input point lies on the boundary of two labels, none of the interiors of the labe...
CORR
2002
Springer
13 years 4 months ago
2002
Springer
We introduce a new measure for planar point sets S that captures a combinatorial distance that S is from being a convex set: The reflexivity (S) of S is given by the smallest numb...
CCCG
2003
13 years 5 months ago
2003
We pose a monotonicity conjecture on the number of pseudo-triangulations of any planar point set, and check it on two prominent families of point sets, namely the so-called double...
CCCG
2007
13 years 5 months ago
2007
We analyze the minimum and maximum number of empty pseudo-triangles defined by any planar point set. We consider the cases where the three convex vertices are fixed and where th...
CCCG
2010
13 years 5 months ago
2010
A planar point set S is an (i, t) set of ghost chimneys if there exist lines H0, H1, . . . , Ht-1 such that the orthogonal projection of S onto Hj consists of exactly i + j distin...
LATIN
2010
Springer
13 years 11 months ago
2010
Springer
We study the following geometric hypergraph coloring problem: given a planar point set and an integer k, we wish to color the points with k colors so that any axis-aligned strip co...